On some exotic finite subgroups of \(E_8\) and Springer's regular elements of the Weyl group.

DOI10.1007/s00031-010-9099-0zbMath1234.20058OpenAlexW2048189303MaRDI QIDQ626564

Bertram Kostant

Publication date: 18 February 2011

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-010-9099-0

zbMATH Keywords

Weyl groupsregular elementsfinite subgroupsembeddingsBorel subgroupsfinite simple groups of Lie type

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Simple groups: alternating groups and groups of Lie type (20D06) Exceptional groups (20G41)

Related Items (1)

Cyclic elements in semisimple Lie algebras

Cites Work

• Unnamed Item
• Fixed point varieties on affine flag manifolds
• Regular elements of finite reflection groups
• Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Commutators in a Semi-Simple Lie Group
• The groupL(2 61) embeds in t h e Lie group of typeE₈

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